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Grade-5
Adding Fractions With Unlike Denominators - Word Problems
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Mary played piano for
3
12
of an hour on Saturday and
2
15
of an hour on Sunday. How many hours did Mary play piano during the weekend?
(Solve and reduce the fraction.)
Explanation
Remember, we cannot add fractions until the denominators are same. So, we have to find the least common denominator.
Least Common Denominator (LCD) of 12 and 15 is 60.
Now, we have to make sure both fractions have the same new denominator 60.
You can write fraction
3
12
as
3x5
12x5
=
15
60
You can write fraction
2
15
as
2x4
15x4
=
8
60
Now, both fractions have same denominator and we are ready to add
15
60
+
8
60
=
15+8
60
=
23
60
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